fix spelling and record false positives

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Axel Kohlmeyer 2019-03-15 14:18:04 -04:00
parent 3abfce01ca
commit 3f0f2383b4
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2 changed files with 29 additions and 11 deletions

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@ -111,8 +111,7 @@ For the {hertz/material} model, the force is given by:
Here, \(E_\{eff\} = E = \left(\frac\{1-\nu_i^2\}\{E_i\} + \frac\{1-\nu_j^2\}\{E_j\}\right)^\{-1\}\)
is the effective Young's modulus,
with \(\nu_i, \nu_j \) the Poisson ratios of the particles of types {i} and {j}. Note that
if the elastic and shear moduli of the
two particles are the same, the {hertz/material}
if the elastic modulus and the shear modulus of the two particles are the same, the {hertz/material}
model is equivalent to the {hertz} model with \(k_N = 4/3 E_\{eff\}\)
The {dmt} model corresponds to the "(Derjaguin-Muller-Toporov)"_#DMT1975 cohesive model,
@ -188,7 +187,7 @@ for all models except {jkr}, for which it is given implicitly according to \(del
In this case, \eta_\{n0\}\ is in units of 1/({time}*{distance}).
The {tsuji} model is based on the work of "(Tsuji et al)"_#Tsuji1992. Here, the
damping coefficient specified as part of the normal model is intepreted
damping coefficient specified as part of the normal model is interpreted
as a restitution coefficient \(e\). The damping constant \(\eta_n\) is given by:
\begin\{equation\}
@ -242,7 +241,7 @@ The tangential damping force \(\mathbf\{F\}_\mathrm\{t,damp\}\) is given by:
\mathbf\{F\}_\mathrm\{t,damp\} = -\eta_t \mathbf\{v\}_\{t,rel\}
\end\{equation\}
The tangetial damping prefactor \(\eta_t\) is calculated by scaling the normal damping \(\eta_n\) (see above):
The tangential damping prefactor \(\eta_t\) is calculated by scaling the normal damping \(\eta_n\) (see above):
\begin\{equation\}
\eta_t = -x_\{\gamma,t\} \eta_n
\end\{equation\}
@ -292,7 +291,7 @@ duration of the contact:
\mathbf\{\xi\} = \int_\{t0\}^t \mathbf\{v\}_\{t,rel\}(\tau) \mathrm\{d\}\tau
\end\{equation\}
This accumlated tangential displacement must be adjusted to account for changes
This accumulated tangential displacement must be adjusted to account for changes
in the frame of reference
of the contacting pair of particles during contact. This occurs due to the overall motion of the contacting particles
in a rigid-body-like fashion during the duration of the contact. There are two modes of motion
@ -304,7 +303,7 @@ made by rotating the accumulated displacement into the plane that is tangential
to the contact vector at each step,
or equivalently removing any component of the tangential displacement
that lies along \(\mathbf\{n\}\), and rescaling to preserve the magnitude.
This folllows the discussion in "Luding"_#Luding2008, see equation 17 and
This follows the discussion in "Luding"_#Luding2008, see equation 17 and
relevant discussion in that work:
\begin\{equation\}
@ -350,7 +349,7 @@ see discussion above. To match the Mindlin solution, one should set \(k_t = 8G\)
\(G\) is the shear modulus, related to Young's modulus \(E\) by \(G = E/(2(1+\nu))\), where \(\nu\)
is Poisson's ratio. This can also be achieved by specifying {NULL} for \(k_t\), in which case
a normal contact model that specifies material parameters \(E\) and \(\nu\) is required (e.g. {hertz/material},
{dmt} or {jkr}). In this case, mixing of shear moduli for different particle types {i} and {j} is done according
{dmt} or {jkr}). In this case, mixing of the shear modulus for different particle types {i} and {j} is done according
to:
\begin\{equation\}
1/G = 2(2-\nu_i)(1+\nu_i)/E_i + 2(2-\nu_j)(1+\nu_j)/E_j
@ -381,7 +380,7 @@ If the {rolling} keyword is not specified, the model defaults to {none}.
For {rolling sds}, rolling friction is computed via a spring-dashpot-slider, using a
'pseudo-force' formulation, as detailed by "Luding"_#Luding2008. Unlike the formulation
in "Marshall"_#Marshall2009, this allows for the required adjustment of
rolling displacement due to changes in the frame of referenece of the contacting pair.
rolling displacement due to changes in the frame of reference of the contacting pair.
The rolling pseudo-force is computed analogously to the tangential force:
\begin\{equation\}
@ -487,7 +486,7 @@ Finally, the twisting torque on each particle is given by:
:line
LAMMPS automatically sets pairwise cutoff values for {pair_style granular} based on particle radii (and in the case
of {jkr} pulloff distances). In the vast majority of situations, this is adequate.
of {jkr} pull-off distances). In the vast majority of situations, this is adequate.
However, a cutoff value can optionally be appended to the {pair_style granular} command to specify
a global cutoff (i.e. a cutoff for all atom types). Additionally, the optional {cutoff} keyword
can be passed to the {pair_coeff} command, followed by a cutoff value.
@ -533,7 +532,7 @@ Mixing of coefficients is carried out using geometric averaging for
most quantities, e.g. if friction coefficient for type 1-type 1 interactions
is set to \(\mu_1\), and friction coefficient for type 2-type 2 interactions
is set to \(\mu_2\), the friction coefficient for type1-type2 interactions
is computed as \(\sqrt\{\mu_1\mu_2\}\) (unless explictly specified to
is computed as \(\sqrt\{\mu_1\mu_2\}\) (unless explicitly specified to
a different value by a {pair_coeff 1 2 ...} command. The exception to this is
elastic modulus, only applicable to {hertz/material}, {dmt} and {jkr} normal
contact models. In that case, the effective elastic modulus is computed as:
@ -542,7 +541,7 @@ contact models. In that case, the effective elastic modulus is computed as:
E_\{eff,ij\} = \left(\frac\{1-\nu_i^2\}\{E_i\} + \frac\{1-\nu_j^2\}\{E_j\}\right)^\{-1\}
\end\{equation\}
If the {i-j} coefficients \(E_\{ij\}\) and \(\nu_\{ij\}\) are explictly specified,
If the {i-j} coefficients \(E_\{ij\}\) and \(\nu_\{ij\}\) are explicitly specified,
the effective modulus is computed as:
\begin\{equation\}

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@ -155,6 +155,8 @@ ba
Babadi
backcolor
Baczewski
Bagi
Bagnold
Bal
balancer
Balankura
@ -343,6 +345,7 @@ Cij
cis
civ
clearstore
Cleary
Clebsch
clemson
Clermont
@ -369,6 +372,7 @@ Coeff
CoefficientN
coeffs
Coeffs
cohesionless
Coker
Colberg
coleman
@ -442,6 +446,7 @@ cuda
Cuda
CUDA
CuH
Cummins
Curk
customIDs
cutbond
@ -485,6 +490,7 @@ darkturquoise
darkviolet
Das
Dasgupta
dashpot
dat
datafile
datums
@ -521,6 +527,7 @@ Dequidt
der
derekt
Derjagin
Derjaguin
Derlet
Deserno
Destree
@ -1065,6 +1072,7 @@ Hyoungki
hyperdynamics
hyperradius
hyperspherical
hysteretic
Ibanez
ibar
ibm
@ -1124,6 +1132,7 @@ interconvert
interial
interlayer
intermolecular
Interparticle
interstitials
Intr
intra
@ -1141,6 +1150,7 @@ IPython
Isele
isenthalpic
ish
Ishida
iso
isodemic
isoenergetic
@ -1430,6 +1440,7 @@ logfile
logfreq
logicals
Lomdahl
Lond
lookups
Lookups
LoopVar
@ -1444,6 +1455,7 @@ lsfftw
ltbbmalloc
lubricateU
lucy
Luding
Lussetti
Lustig
lwsock
@ -1482,6 +1494,7 @@ manybody
MANYBODY
Maras
Marrink
Marroquin
Marsaglia
Marseille
Martyna
@ -1493,6 +1506,7 @@ masstotal
Masuhiro
Matchett
Materias
mathbf
matlab
matplotlib
Mattox
@ -1580,6 +1594,7 @@ Mie
Mikami
Militzer
Minary
Mindlin
mincap
mingw
minima
@ -2260,6 +2275,7 @@ rg
Rg
Rhaphson
rheological
rheology
rhodo
Rhodo
rhodopsin
@ -2572,6 +2588,7 @@ Tait
taitwater
Tajkhorshid
Tamaskovics
Tanaka
tanh
Tartakovsky
taskset
@ -2659,6 +2676,7 @@ tokyo
tol
toolchain
topologies
Toporov
Torder
torsions
Tosi
@ -2703,6 +2721,7 @@ Tsrd
Tstart
tstat
Tstop
Tsuji
Tsuzuki
tt
Tt